{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import reuired modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.117381Z",
     "start_time": "2020-07-02T18:08:24.336695Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from porousmedialab.batch import Batch\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Initiate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.121686Z",
     "start_time": "2020-07-02T18:08:25.119100Z"
    }
   },
   "outputs": [],
   "source": [
    "bl = Batch(tend = 1, dt = 0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create your solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.130074Z",
     "start_time": "2020-07-02T18:08:25.123706Z"
    }
   },
   "outputs": [],
   "source": [
    "# Acids\n",
    "bl.add_species(name='H2CO3', init_conc=0)\n",
    "bl.add_species(name='HCO3', init_conc=0)\n",
    "bl.add_species(name='CO3', init_conc=0)\n",
    "\n",
    "bl.add_acid(species=['H2CO3', 'HCO3', 'CO3'], pKa=[3.6, 10.32])\n",
    "\n",
    "\n",
    "bl.add_species(name='H2SO4', init_conc=0)\n",
    "bl.add_species(name='HSO4',  init_conc=0)\n",
    "bl.add_species(name='SO4',  init_conc=0)\n",
    "\n",
    "bl.add_acid(species=['H2SO4', 'HSO4', 'SO4'], pKa=[-10, 1.99])\n",
    "\n",
    "# Minerals\n",
    "bl.add_species(name='CaCO3', init_conc=0)\n",
    "bl.add_species(name='CaSO4', init_conc=0)\n",
    "\n",
    "# dissolved Ca\n",
    "bl.add_species(name='Ca', init_conc=0)\n",
    "bl.add_ion(name='Ca', charge=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Specify rate constants"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.134798Z",
     "start_time": "2020-07-02T18:08:25.132210Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.constants['Ks_CaCO3'] = 3.3e-9\n",
    "bl.constants['Ks_CaSO4'] = 10**-4.58\n",
    "bl.constants['k_pre'] = 1e-4\n",
    "bl.constants['k_dis'] = 1e-3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Specify rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.139455Z",
     "start_time": "2020-07-02T18:08:25.136684Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.rates['R_pre_CaCO3'] = 'k_pre * (Ca*CO3/Ks_CaCO3-1)'\n",
    "bl.rates['R_pre_CaSO4'] = 'k_pre * (Ca*SO4/Ks_CaSO4-1)'\n",
    "bl.rates['R_dis_CaCO3'] = 'k_dis * CaCO3 * (1 - Ca*CO3/Ks_CaCO3)'\n",
    "bl.rates['R_dis_CaSO4'] = 'k_dis * CaSO4 * (1 - Ca*SO4/Ks_CaSO4)'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ODE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.144686Z",
     "start_time": "2020-07-02T18:08:25.141154Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.dcdt['CaCO3'] = 'R_pre_CaCO3 - R_dis_CaCO3'\n",
    "bl.dcdt['Ca'] = '-R_pre_CaCO3 + R_dis_CaCO3 - R_pre_CaSO4 + R_dis_CaSO4+1.4e-2'\n",
    "bl.dcdt['CO3'] = '-R_pre_CaCO3 + R_dis_CaCO3+0.7e-2'\n",
    "bl.dcdt['CaSO4'] = 'R_pre_CaSO4 - R_dis_CaSO4'\n",
    "bl.dcdt['SO4'] = '-R_pre_CaSO4 + R_dis_CaSO4+0.7e-2'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:25.713504Z",
     "start_time": "2020-07-02T18:08:25.146226Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:08:25\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:00m:00s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:08:26\n"
     ]
    }
   ],
   "source": [
    "bl.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:27.596046Z",
     "start_time": "2020-07-02T18:08:25.716092Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAESCAYAAAAVLtXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3deXxU1fnH8c9kZwn7vsgi8AACooDgrnVpaV1bWxWLgruttdb2Z11+tVptf7VqN611rVvdq7iXVmtVVEB2AeFBQHYEApJAIPv8/rjDkABJJpDJZDLf9+uVF7nnLvMckjxz5txzzwmFw2FERCS1pCU6ABERaXhK/iIiKUjJX0QkBSn5i4ikICV/EZEUpOQvIpKCMhIdgDRtZhYGOrp7XqWyCcA57n6amTUD/gIcAYSA6cAP3X2nmeUCvwfGABWRr7+4+yOVrnUYcDswENge+brb3V/ZRyx/BPq5+2lxqWycmNm3gNHufsv+nmdmZwAnu/s1cQlSko5a/pJoNxM0QoZFvpoBN0b2/ZYgmQ9z90OBbwG3mNmpAGY2Cngd+Ku793P34cClwB1mdkXlFzGz7wEXNEB94mEU0O5AznP315T4pTK1/CXRPgBWuHsFgJnNAQ6J7OsKbAAygRJ3X2dm3wa2RPbfAfza3d/cdTF3X2xm44H/mNnj7l5sZoOA64FfAV+vLhAzuxG4CCgDPgcmuHu+mf0COD9SvgS42t2/NLP3gKnA0cBBwDvA5e5eYWanReJLAwqBK919npkdBdwJtADKgdvc/Y3Ip6GzCT7d9Ad2RGJpBVwJpJtZfiSuSyLn5wOnAX+NnNMe2AaMA9rs47xdn7Z6RM7pTfBp6wl3v8vMegP/Ad4CRgNtgevdfVJ1/2eSvNTyl4bwXzObu+uLIAkD4O7/dvclAGbWC7gWeDGy+1bgJCDPzCZHknCBuy+P7D+K4M2jCnefA4SBwWbWEngKmECQGPcp0i0yATjS3YcAXwBXm9lEYCwwyt2HAQuAxyudejBwAsGnlrHA8WbWGfg7MDFyzl3Ab82sLfAYMN7dDwfOBP5qZgdFrnU88KPI608HbnD36cADwPPufnPkuEOAE9z9xMhrbnX3I919ADCD4M1pX+ft8jTwX3cfSvDG9X0zOy+yry/wL3c/ArgB+GN1/2eS3JKq5W9mo4E73f2EOp6XDjwMGEFra6K7LzOzfgR/yGGCP+of7mqBSr06cV99/pUPMLMRwCTgPnd/A8DdPzUzAw4nSIynADeb2Xfd/fXIqZnVvGYWwc/1UeBed19gZiNriPFk4EV3/yry2tdF4noBeMzdCyPH/SkSQ1Zk+/XI70yBmS0l6GY5GlgQeRPC3V8GXjazbxJ8mnklqBZEYhwW+X6Wu6+JfD8b+HY1sX7q7gWRa//DzJab2Y+AfgRvRFOrq6SZtYjEd2rk/Hwze5zgTWQaUErQ8t8Vw/50N0kSSJqWv5ldDzwC5OzH6acDuPvRwC0ENxGJ/Pu/7n4swcffM+shVKmjSKvzbYKW7m8iZRlm9iDQ1t1nufvv3X0sQVfKrv78jwiS3Z7XG0WQxPKAY4GfVPrEcayZvbXnOQRdOuFK12gT6QZJr1xO8DeTQfD7ArCz0r5wpHzPa4XMbFjkWovcffiuL4Kb2f+q4Vr7sr3Sta8ieIPbATwDPFvDebvi33N/GrvfREsqNYBqikGSXNIkf2AZlVpCZjbUzP5rZu+Z2Utm1rq6EyMjPy6PbPYi6EcGGAG8H/n+nwStP2lAZnY68GfgVHd/Zle5u5cRfFL7hZllRo7NAAYRtEghuDH880iLetf1BhF8mvuFu69x926VEu0twBR3jx5fyTvAt82sVWT7VuA6YDJwcaTFDHAN8IG7F9dQrenAIDPbde/iTIJuoGlAfzM7LhLrcIK++O41/R8RvJlU9wnn68Dj7v4o4AQNnfTqznP3bZE4fhiJoTVwIcGbr6SQpOn2cfeXIi2xXR4GLnb3z8zsEuB6M5sC3L3HqTe7+6vuXmZmTxDcVNvV5RBy910ttG1AtW8gEjd3E7QuH6nUFfKRu/+Q4Of0O2CJme0gaKxMInLPwN3nREb+3G5mfyDo0vsK+KW7/6MuQbj7W2Y2GPgoEsdC4DKCm7U9gU/MLA1YSi2jhtx9g5ldADwRecMqAM5z901m9h3gLjPLidRnvLuvqFT3fXkXeMbM7gVm7bHvbuChyN9AiKDLZ2gt510A/CVyPyOL4BPD4wQNI0kRoWSa0jmS/J9z9zGREQxzIrsygSXuPjGGa3QhaJkNBtzde0TKzwROcfer4xK8iEgjkkzdPnty4MLIzd/rgTerO9DMxkeG8UHQN1pB0EqcY2YnRMrHAlPiFq2ISCOSNN0++3AV8GRkJA8EY5+r8zLwmJl9QPAp4Vp3LzKznwIPR0ZuLALq1FUgIpKskqrbR0RE6kcyd/uIiMh+Sopun7lz54azs7PrfN6uTzWhUOoMVVadU4PqnBoOtM47duzIGzFiRMd97UuK5J+dnc2gQYPqfF5JSQkAWVlZtRzZdKjOqUF1Tg0HWudZs2atrG5f3Lp9zGx0ZOKrPctPN7MZZjbVzC6L1+uLiEj14pL8q5uKIfKk5h8I5hU5Hrg8Mu5eREQaULy6fXZNxfDUHuWDgKW7Js8ysw8J5l55kRqEw+Hox5+6KC0trfM5yU51Tg2qc2qIZ53jkvz3MRXDLq0I5iDfRVMqiIjEoKysjPXr11NcvPe0UtnZ2XTt2pWMjNhTekPf8C0Acitt5wJbazspFAod0E2eVLpBtIvqnBpU59SQlZXF2rVrad26Ne3bt68y+iccDrN582Y2bNhAnz59Yr5mQ4/zX0Qwq2G7yFO1x1HD3OMiIhIoKiraK/FD0Dhu3749RUVFdbpegyR/MxtnZpe7eynBNLn/Ikj6f3P3tQ0Rg4hIsvkir5DS8t3rS1U33n9/ngOIW7ePu68gWKiCPeZpf51g0W0REdmHcDjM//zjU/4xaw0Du7TkzWuOq/fX0PQOIiKNzEMfLOcfs4IVPZdtKqSotLzeX0PJX0SkEfl4aR53Tl4c3T5vZA9aZAedNNVNxLk/E3Qq+YuINBJrt+7k6mfnUBHJ5Yf3bM3Pvz4AgJycHDZv3rxXot812icnp27LmyfF3D4iIk1dcVk5P/j7LLYUBg+0dszN5k/nDiMrI2ij9+jRgzVr1rBp06a9zs3JyaFHjx51ej0lfxGRRuC21z9j3prgGdiMtBB/GXc4nVvtbs1nZmbWaRx/bdTtIyKSYC/MXM0z01dFt2/65iCO6NMurq+p5C8ikkAL1ubzv68siG6fcWg3Jh7dO+6vq+QvIpIgWwpLuOKpWZSUBQ9yWedcfvudoQ2yYI2Sv4hIApSVV3DNs3NYu3UnALnZGTwwfgTNsxrmVqySv4hIAtz1b+fDpXnR7d+fO5w+HVo02Osr+YuINLA3Pl3Hg+8vj25fc1J/ThncuUFjUPIXEWlAC9fl8z8vfhrdPmlgJ649qX+Dx6HkLyLSQPK2F3P5k7PYGZmrp3f75vz+3OGkpcX/Bu+elPxFRBpASVkFV/19VpUbvI9cNJLWzTITEo+Sv4hInIXDYW55dQEzVnwFQCgEfz7/MPp1yq3lzPhR8hcRibMnp67kuRmro9s3fGMgJw7slMCIlPxFROLqo6V5/OqNz6Lb3z6sO5cf1zeBEQWU/EVE4mTl5kJ++MxsyiNzNB/asw2/+XbDPMFbGyV/EZE42F5cxmVPzmTrjlIAOuVm89D4EeRkpic4soCSv4hIPauoCPOT5+eyZMN2ALIy0nhw/IgqUzQnmpK/iEg9+8M7S3j7sw3R7f87eyiHHdQ2gRHtTclfRKQevfnpeu59d2l0+9Jj+vCdEXVbZashKPmLiNSTBWvz+emLc6Pbx/bvwA1jByYwouop+YuI1ION24q47MmZFJUGc/P3bt+c+84/nIz0xplmG2dUIiJJpKi0nCuemsX6/CIAcnMyeOSiUbRunpipG2Kh5C8icgDC4TA3vTyfOau2ApAWgnvPP4x+nVomOLKaKfmLiByA+99bxstz1ka3b/7WYE6wxE7dEAslfxGR/TR5wXru+pdHt88d2ZOLG2Dx9fqg5C8ish8WrM3nJ8/Pi26P7tOO288a0iimboiFkr+ISB19mV/EpU/MrLIoywPfH0FWRvKk1OSJVESkESgsLuOSJ2bwZUEwsqdVZGRP2xZZCY6sbpT8RURiVF4R5sfPzWHhugIAMtJC/PX7Ixr9yJ59UfIXEYnRHW9+xjuLNu7ePmsIR/frkMCI9l9GPC5qZmnA/cChQDFwqbsvrbT/Z8D5QAXwG3efFI84RETqy5NTV/DYRyui21cc35fzjjgoYfEcqLgkf+AsIMfdjzSzMcA9wJkAZtYGuAboB7QA5gI1Jv9wOExJSUmdgygtLa3zOclOdU4NqnPDen9JHre+tjC6/fXBnfjJiX33Ky/VRTzrHK9un2OAyQDuPg0YWWlfIbCSIPG3IGj9i4g0Sou/3Ma1L3xKZDEuhnZvxe++PYS0tOQY0lmdeLX8WwH5lbbLzSzD3csi26uBz4B04P9qu1goFCIra//vpB/IuclKdU4NqnN8bSwo4sqn51JYEgzp7N6mGY9OGEXrlg27KEs86hyvln8BkFv5dSol/rFAV6APcBBwlpkdEac4RET2S2FxGRc/MYN1kcnaWmZn8OiEkXTKbTyrcR2IeCX/j4BvAkT6/OdX2vcVsBModvciYCvQJk5xiIjUWXlFmGuencOCtcGQzvS0EPeNO4yBXVolOLL6E69un0nAKWb2MRACJprZdcBSd3/NzE4GpplZBfAh8Hac4hARqZNwOMyvXl/IfxbvHtJ5+5lDkmKytrqIS/J39wrgyj2KF1fa/0vgl/F4bRGRA/HwlOU8MXVldPuqEw5m3OjkHdJZHT3kJSIS8dq8dfzmrWg7ldOGdeV/TrUERhQ/Sv4iIsC05Zv52Qu7Z+k8ok877v7uoUk/pLM6Sv4ikvI+37CNy5+cSUl58NjRwR1b8ND4EeRkpic4svhR8heRlLahoIgJj82goCgYjd4xN5vHJx5Bm+ZN+xkKJX8RSVnbi8uY+NgM1m7dCUDzrHQemzCKnu2aJziy+FPyF5GUVFpewQ+ens1n63eP5b//gsMZ0r11giNrGEr+IpJywuEwN7w0nw+WbIqW/d/ZQ5vcWP6aKPmLSMq5+9/OS7PXRLevOak/3xvVM4ERNTwlfxFJKU98vIK//HdZdPvckT35ycn9ExhRYij5i0jKeGv+em59ffe8/CcN7MSvzx5CKNQ0x/LXRMlfRFLCx0vzuPa5uYQj8/IP79mGe8cdRkZ6aqbB1Ky1iKSUBWvzufypWdGHuPp2bMHfJoyieVa85rZs/JT8RaRJW5FXyITHPmF7cfAQV5dWOTx58RG0a9G0H+KqjZK/iDRZGwuKGP+36eRtD9babd0skycvOYIebZv+Q1y1UfIXkSapoKiUix6bweotwdO7OZlp/G3CSAZ0zq3lzNSg5C8iTU5RaTmXPTGTRXs8vTuiV7sER9Z4KPmLSJNSWl7B1c/MZvoXW6Jld35nGF8b2DmBUTU+Sv4i0mSUV4T52YvzeGfR7iUYbxw7kHNG9EhgVI2Tkr+INAnhcJj/fWUBr85dFy276oSDueL4gxMYVeOl5C8iTcJvJy/m2U9WRbfHj+nF9V9vmksw1gclfxFJen99bxkPvr88un32Yd257YxDUnLahlgp+YtIUnv2k1XcOXn3ousnD+rM784Z1mTX3q0vSv4ikrTe/HQ9N0+aH90e07cd9407jMwUna+nLvQ/JCJJ6Z3PNvDj5+ZQEZmobWj31jx84cgmveh6fVLyF5GkM+XzTfzg6dmURTJ/v04teXziKHJzMhMcWfJQ8heRpDJ9+WYue3JmdIbOXu2b8/Slo2nfMjvBkSWX1J3PVESSztzVW7n4idkUlQaJv1vrHJ6+dDSdW+UkOLLko5a/iCSFhesKuOSpORSWlAPQMTebZy4boxk695OSv4g0ev7lNiY+OZttRcGc/O1aZPHMpaPp3aFFgiNLXkr+ItKoLd24nQsemcbWHaUAtMrJ4O+XjKa/pmY+IDH1+ZvZTcD1wA4gBITdvVs8AxMR+SKvkHEPT4suxtIiO50nLxnN4G6tEhxZ8ov1hu/3gG7uviOewYiI7LJycyHnPzSNjduKAWielc4j3z+c4T3bJDiypiHW5L8C2BnrRc0sDbgfOBQoBi5196WV9o8FfhnZnA380N3DsV5fRJq2FXmFnP/wNL4sKAKgWWY6D3//MEb0UuKvL7H2+WcB883s2cjXM7UcfxaQ4+5HAjcA9+zaYWa5wF3Aae4+huCNpUOdIxeRJmn5pu2c+9BU1ucHiT87I41HLxrJqN5tExxZ0xJry//OOl73GGAygLtPM7ORlfYdBcwH7jGzvsAj7r6ppouFw2FKSkrqGAKUlpbW+ZxkpzqnhqZa56WbtnPRY7PYFOnjz8lM44Fxwxl5UKsmW+eaxLPOsbb85wCnEdz0PYsgedekFZBfabvczHa90XQATgR+DowFrjWzATFHLCJN0rw1+Yx7dGY08TfLTOOhCw7jqIPbJziypinWlv/fgPeBp4HjgceBM2o4vgCoPA4rzd3LIt9vBma4+5cAZvYBMBxYUt3FQqEQWVlZMYa6twM5N1mpzqmhqdT5/SWbuPKpWewsDR7gap6VzmMTRjG6796Jv6nUuS7iUedYk397d7838v1cMzunluM/Ak4HXjCzMVT9pDALGGJmHYCtwBjg4TrELCJNyOvz1vGT5+dGJ2lr2zyTxyYeoVE9cRZrt08zM+sCYGadgdrmTJ0EFJnZx8AfgJ+Y2XVmdkakf/9G4F/AdOBld1+wf+GLSDKbvOBLrq2U+Lu3acaLVx6lxN8AYm35/wL42Mx2dedcXtPB7l4BXLlH8eJK+58DnqtDnCLSxLznG/nRs7MpjyT+/p1a8tQlo+nSWpO0NYSYkr+7vw30NbMO7p4X55hEpImbumwzVzw1i9LyIPH36dCCpy8bTadcJf6GUmPyN7P73P1qM5sKhCNlALj7UfEPT0Samlkrt3DJEzMoLgumZe7ephlPX6rE39Bqa/nfHvn3QqDyQPt28QlHRJqyT9dsZcLfZrAjMi1z51bZPHPZaLq1aZbgyFJPbTd8Q5Ex+E8RPOWbDTQDHox3YCLStHy2roDxj37CtuJg1HeHllk8fekYerXXtMyJUFvLfwzwY8CAhyJlFQQjdUREYrJ04zbGPzqd/J3BE6ttmmfy90tH069TywRHlrpqTP7u/grwipl9093faqCYRKQJWbm5kAsemc7mwqDnODcng6cuHs3ALpqWOZFiHeq5xcweBDIJ5vPv5u5fj19YItIUrNu6k3EPT2dDwe5pmR+fOIqhPVonODKJ9SGvPwPvAa2BlYCGe4pIjVZuLuS8h6axdmswG3x2RhqPXDSSEb00XqQxiDX5b3X3Z4ECd78V6BG/kEQk2S1aX8A5D0xl1ZZg/afM9BAPjh/BUQdr9vbGItZun7CZHQI0t2Cgf5c4xiQiSWzmii1MfHxGdLH17Iw07r/gcE6wTgmOTCqLNflfBxxC0P3zDPDXuEUkIknrgyWbuPypmRSVBg9w5WZn8MhFI/c5O6ckVqzJ/xJ3vy7y/Yh4BSMiyWvygi+55tk5lJQHib9DyyyeuPgIDummm7uNUax9/oPMTNPsicg+TZqzhh8+Mzua+Lu1zuGFK45U4m/EYm35DwbyzCyPYI6fsLt3i19YIpIsHv/oC259/bPodu/2zXn6sjF015QNjVqsyf8Yd1+9a8PMBsYpHhFJEuFwmD/953P++M7n0TLrnMtTlx6hSdqSQG2zeg4BugN3mtn/EDzglQb8lmDpRRFJQRUVYX71xmc8/vGKaNlhB7XhsQmjaNM89ZZZTEa1tfzbAucBnYFxkbIK4P54BiUijVdJWQU/e3Eer81bFy07tn8HHhw/guZZsXYmSKLVNrfPFGCKmR3u7rMbKCYRaaS2F5dx1d9nMeXz3Q/5f2toV35/7qFkZ9S2uqs0JjEv4G5mbwHRjjx3/1p8QhKRxmjz9mImPj6DT9fkR8vGj+nFrWccQnpaKIGRyf6INfn/AbgWWF3bgSLS9Kz5agcXPvoJy/MKo2XXnTKAH32tH6GQEn8yijX5r3L3d+IaiYg0Sks2BHPx75qZMy0Et581hAtG90pwZHIgYk3+G83sAWAOkbV83f2hmk8RkWQ3fflmLntyJgWReXqy0tP403nDGTu0a4IjkwMVa/L/IvKvJnQTSRFvfLqO656fF31qt2V2Bg9dqJk5m4qYkr+732ZmJwN9gOnAkrhGJSIJEw6HefTDL7jjzUXRso652Tw2YRRDumu6hqYipuRvZr8hmMN/EFAC3AicH8e4RCQByivC3L7Hw1sHd2zB4xOPoGe75okLTOpdrBO7HePuFwLb3f0Jgk8AItKE7Cwp56q/z6qS+Ef2astLVx2lxN8Exdrnn2FmOQSLuqQD5XGMSUQaWN72Yi59YiZzV2+Nln1zaBd+/73h5GTq4a2mqC7j/GcBHQn6/P8Qt4hEpEEt27SdCY99wuotO6Nllx/Xlxu+MZA0PbzVZMV6w/dFM5tGMNpng7uvim9YItIQpi/fzOVPzSJ/ZykQjOG/5bTBTDhaPbtNXUx9/mZ2C3Ctu88A7jGzn8c3LBGJt5dnr2H8o59EE3+zzHQeHD9SiT9FxHrD90x3/ymAu38XOCN+IYlIPFVUhLn7X851L8yrtORiNs9fMYZTBndOcHTSUGJN/hVmlgVgZpl1OE9EGpGi0nJ+9Nwc7vvv0mjZgM4tmfSDoxjWQyu1ppJYb/g+ACwws/nAQOB38QtJROJhY0ERlz01i3mVRvQcN6Aj9407jFY5mQmMTBIh1hu+j5rZa0BfYJm759V0vJmlESz4cihQDFzq7kv3ccybwKvu/sD+BC8isVm4Lp9Ln5jJ+vyiaNn4Mb345emDyUjXB/lUFOsTvsOBy4nM529muPvFNZxyFpDj7kea2RjgHuDMPY65A2hX95BFpC4mL1jPdS/MY0dJ8HhOWgh+efohXHRU78QGJgkVa7fP48B9xD6f/zHAZAB3n2ZmIyvvNLNzCJaD/GcsFwuHw5SUlMT40ruVlpbW+ZxkpzqnhljqXFER5v73l/Pn/y6PlrXMzuDP5w7jmH7t9+tvKpH0c65fsSb/L939kTpctxWQX2m73Mwy3L0ssij8OOAc4JY6XFNEYrSjpJwbJi1g8sKN0bKD2jXjgXHD6depZQIjk8Yi1uS/wsxuoOp8/v+u4fgCILfSdpq7l0W+vxDoDrwL9AZKzGyFu0+u7mKhUIisrKwYQ93bgZybrFTn1LCvOq/esoPLnpzJ4i+3RcuO7teev4w7nDbNk///SD/n+hFr8s8GLPIFwRtATcn/I+B04IVIn//8XTvc/fpd35vZrQSfKqpN/CISu4+X5fHDp2fz1Y7d3QUTjurNzd8aRKZu7EolsY72mRjprhkMLHH3ubWcMgk4xcw+BkLARDO7Dljq7q8dUMQispdwOMwTH6/g9jcXUV4RBiAzPcQdZw3h3FEHJTg6aYxiHe3zI4J++unAz8zsBXe/u7rj3b0CuHKP4sX7OO7W2EMVkX0pKi3n5kkLeGn2mmhZh5bZPDj+cEb00oA62bdYu33GAcdGbthmAh8D1SZ/EWkY67bu5Kq/z2Lemt3jKw7t0ZoHxo+ga+tmCYxMGrtYOwFDu27YunspkHpjrkQamY+Xbea0ez+skvjPGdGD5684UolfahVry/9DM/sHMIVgDP9H8QtJRGoSDod5aMoX/P6dpUS690lPC3HLaYO58MhehEKag19qV2vyN7PLCdbsPRUYAbzv7vfFOzAR2VtBUSk/e2Ee//5sQ7SsQ8ts7r/gcI7oo/59iV2N3T6RoZinApnu/ibwJPA1M/tFA8QmIpUsWl/AGfd+WCXxj+zVljevOUaJX+qstj7/scB33X0HgLuvAM5F8/mLNKiXZq3h7Ps/YsXmHdGyC8f05JnLxtC5VU4CI5NkVVu3z3Z3D1cucPdSM9tW3QkiUn+KSsv55asLeX7m7mm1mmel8+szB/OtoV3IytCDW7J/akv+O82sr7tHZ4Yys75EpngQkfhZkVfIVU/PZtH6gmhZv04teeD7h3NQm+wERiZNQW3J/+fAK2b2H2A5cBDwdeCieAcmkspem7eOm16ez/bismjZmcO78Zuzh9IiOyPpZuSUxqfGz4zuvhA4lmBCtxbAbOBod5/TALGJpJyi0nJufHk+1zw7J5r4s9LTuOOsIfzx3OG0yI51dLZIzWr9TXL3fIJRPiISR0s2bONHz8zBN+y+pdarfXPuO/9whvZoncDIpClSM0IkwcLhMM/NWM1try+kqLQiWn76od34zdlDyNX6uhIHSv4iCZS/o5SbJs3nzfnro2XZGWncesYhnDeqp57WlbhR8hdJkBkrtnDtc3NZu3VntGxA55bcN+5wBnTOreFMkQOn5C/SwMrKK7j33aXc++7n0bl5AMaNPohffGswzbLSExecpAwlf5EGtGrzDn78/BzmrNoaLWvdLJM7vzOUbwzpmsDIJNUo+Ys0gHA4zD9mreHW1xZSWFIeLT+iTzv+eO5wurXRFMzSsJT8ReJs8/Zibnx5fpUJ2TLSQlx36gCuOO5g0tN0U1canpK/SBy9/dkGbnz5U/K2734it0+HFvzpvOEM69EmgZFJqlPyF4mDbUWl3P7GZ7wwc02V8vFjenHjNwfSPEt/epJY+g0UqWdTl23mZy/OqzKEs1NuNnd991COH9AxgZGJ7KbkL1JPCovLuHPyYp6curJK+RmHduNXZx5Cm+ZZCYpMZG9K/iL1YOqyzVz/0jxWb9nd2m/TPJPbzxzC6Yd2S2BkIvum5C9yALYVlfLbfy7m6emrqpSfPKgTvzl7KJ20ypY0Ukr+IvvpPd/ITS/PZ11+UbSsVU4Gt55xCGcf1l3z8kijpuQvUkdbCkv41esLeWXuuirlpwzuzB1nDdGaupIUlPxFYhQOh3l17jp+9cZnbCncPW6/XYssbjvjEE4b1lWtfUkaSv4iMRiEWxAAAA7zSURBVFi5uZD/fWUBUz7Pq1J+5vBu3HLaYNq31Jq6klyU/EVqUFpewcNTlvOndz6nuGz3QivdWufw67OHcuLATgmMTmT/KfmLVGPWyi3c9PKCKssqpoXgoqN689NTjZZaT1eSmH57RfbwVWEJv/vXYp79ZHWV8sFdW/Hb7wzVnDzSJCj5i0RUVIR5fuZq7py8mK07SqPlzTLTue6UAUw8ujcZ6WkJjFCk/ij5iwDzVm/lltcWMm/11irlJw/qxG1nDqG75tuXJiYuyd/M0oD7gUOBYuBSd19aaf9PgPMim2+5+23xiEOkNnnbi7lrsvP8zKpdPD3aNuPW0w/h5MGdExSZSHzFq+V/FpDj7kea2RjgHuBMADPrC1wAjAbCwBQzm+Tun1Z3sXA4TElJSXW7q1VaWlr7QU2M6hzjOeUVPD19Nfe+t5xtRWXR8sz0EJcd05srju1Ds6z0/fq9awj6OaeGeNY5Xsn/GGAygLtPM7ORlfatBr7h7uUAZpYJFO19CZH4mPJ5Hr/+5xKW5xVWKf+adeCmscZB7ZonKDKRhhOv5N8KyK+0XW5mGe5e5u6lQJ6ZhYC7gDnuvqSmi4VCIbKy9n863AM5N1mpzntbsmEbv35zEe8v2VSlvG+HFvzi9MGcaMk3Zl8/59QQjzrHK/kXALmVttPcPfrZ2sxygL8B24AfxCkGEQA2bSvmj+8s4dlPVlER3l3eMjuDH5/Un4uO6k1WhkbxSGqJV/L/CDgdeCHS5z9/145Ii/9V4F13vzNOry/CzpJyHpmynAfeX0ZhSXm0PC0E3xvZk5+eanTM1bQMkprilfwnAaeY2cdACJhoZtcBS4F04Hgg28zGRo6/0d2nxikWSTFl5RW8NHsNv397CRsKiqvsO6ZfB27+1iAGdW2VoOhEGoe4JH93rwCu3KN4caXvNeet1LtwOMx/Fm3kzsmL+Xzj9ir7BnRuyY1jB3GCddTMmyLoIS9pIqZ/sYU//GcZs1dVfUirY242150ygO+O6KGnc0UqUfKXpDZ39VbunryYD5dtrlLeIiudK44/mEuP7UPzLP2ai+xJfxWSlBatL+Cefy/hnUUbqpRnpacxbvRBXP21fnTQHPsi1VLyl6SyaH0Bf/7P5/xzwZdVytNCcM6IHlxzUn96tNVDWiK1UfKXpLBwXT73/mcpkxd+ude+bw7pzDVfO5iB3domIDKR5KTkL43avNVbuffdz3ln0ca99p0yuDPXnTKAg9tr8JhIXSn5S6MTDoeZunwz9/93GR8uzdtr/6mDO3PNSf0Z0r01QKOdfE2kMVPyl0ajoiLM24s28MD7y5izx5DNUAjGDunC1Sf2Z3A3PaAlcqCU/CXhisvKeWXOWh78YDnLN1WdaTMtBKcf2o2rT+xH/8651VxBROpKyV8SZkthCU9PW8kTU1eSt73qNAxZ6WmcM7IHVxzXl17tWyQoQpGmS8lfGtySDdt47KMVTJqzhqLSiir7crMzuGBMLyYe3ZvOrXQjVyRelPylQZRXhPnv4o08/vGKfd7E7dIqhwlH92bc6INolZOZgAhFUouSv8TVV4UlvDBzNU9NW8mar3butf+Qbq247Ni+fGtYVzI1945Ig1Hyl3oXDoeZu3orT01byRufrqekrGrXTloITh3chYuP6cOo3m01y6ZIAij5S73J31nKK3PW8uwnq1j85ba99rdpnsm5o3ry/dG96Kl1ckUSSslfDkhFRZhpyzfz4qw1vDV/PcV7tPIBhvVozfdH9+KM4d3IyUxPQJQisiclf9kvqzbv4KXZa3h5zhpWb9m7Lz8nM43Th3Xj+2N6cWjPNgmIUERqouQvMcvfUcpbC9YzafZaPlmxZZ/HDO7aivOP6MmZh3XXqB2RRkzJX2q0s6Scdxdv5NW5a3nPN1FSvne3TutmmZw1vBvfHdkzOt+OiDRuSv6yl6LSct5fsok3P13PO4s2sKOkfK9j0tNCHD+gI985vAcnDeqkvnyRJKPkLwAUFpfx/pJN/HPBl7y7aAOF+0j4ENy8PXN4d04/tCudcvUErkiyUvJPYRu3FfHfxRv598INTFmat9d4/F0O7tiC04Z144zh3Ti4Y8sGjlJE4kHJP4VUVISZvzaf93wT7y7ewLw1+dUe26dDC8YO6cJpw7oxqGuuHsQSaWKU/Ju4jQVFTPk8jw+X5vHBkk1sLqx+4ZOBXXI59ZAufHNoF6yzEr5IU6bk38Tk7yzlkxVfMWNlPlOXbcY37P2k7S7paSFG9W7LSQM7c+ohnTV1skgKUfJPchsKipi54itmrNjCtOVBsg+Hqz++fYssjreOnGCdOL5/R1o311h8kVSk5J9EikrLWbgun7mr85m7eiuzV37F2q17P11bWWZ6iBG92nJs/44c278DQ7q1Ji1N3TkiqU7Jv5HK31HKoi8LWLS+gAVrC1i4Lp/PN26nvKKGZj1BV87grrkc3a8jRx3cnpG929I8Sz9mEakqZbJCWXkFO0rLyc3OaDQ3MsPhMHnbS1i+aTvL8wpZunE7n2/czucbtrE+vyima+RkpjG8ZxtG9GrL6D7tGdK1BS2zM8jKyopz9CKSzFIi+RcWlzH+0enMXrWVEb3acvXX+nHCgI5xfxMIh8Pk7yzly4Ii1m3dydqvdrJm605Wb9nBys07WLV5B9uKy2K+XigUDMEc3rNN9GtQ11ZVFkEpKal+NI+IyC4pkfx/N3kxs1dtBWDWyq+Y+NgMDunWiqMObk+fDi3p1b45rZtlkpuTQYvsDDLSQoRCIdJCUFEBZRUVlFWEKSotZ2dpOTtLytleXMa2ojK2FZWSv7OUr3aUsnVHCXnbS8jbXkze9mI2FhTvc4rjWGSlp9G/c0sGdW3FwC65DO3emsHdWpGrydJEpB40+eQ//YstPDF15V7lC9cVsHBdQQIiqqpldgZ9OrSgb8cW9O3QkgGdW9K/cy692zcnQ8saikicxCX5m1kacD9wKFAMXOruSyvtvwy4AigD7nD3N+IRx46Scm585bPo9nEDOnJwxxY8+8kqikr3r0VeVy2zM+jUKpturZvRvU0zurdtRo+2zejVvjkHtWtBh5ZZjeYehIikjni1/M8Cctz9SDMbA9wDnAlgZl2Aa4CRQA7woZm97e7F9R3EPW9/Hl00vFVOBnedM4zOrXK4+sR+TF2+mS82FfJFXiGrv9rBtqIytheXUVhcRnlFmIowVITDpKeFyEgLkZGeRk5mGs0y08nJTKdldka0m6hNsyzaNs+kTfNM2rfMpkPLbNq3zKJzqxxaZjf5D1cikoTilZmOASYDuPs0MxtZad8RwEeRZF9sZkuBYcCM6i4WDofrfCNze3EZf5++Orp901ijbU4aJSUl5GaFOHVgBxjYoU7XrLuKBr8BW1pa2qCv1xiozqlBda5f8epUbgVUnjWs3Mwyqtm3Daj3FUDC4TDtWgQ3R08Z1Imzh3et75cQEUla8Wr5FwC5lbbT3L2smn25wNaaLhYKheo8br19VhYvXD6apRu3c/Ih3UhPsadaU3Gcv+qcGlTn+hGv5P8RcDrwQqTPf36lfZ8AvzazHCAbGAQsiEcQPds2o2fbZimX+EVEahOv5D8JOMXMPgZCwEQzuw5Y6u6vmdmfgSkE3U43u3tsj7OKiEi9iEvyd/cK4Mo9ihdX2v8w8HA8XltERGqnp4hERFKQkr+ISApS8hcRSUFK/iIiKUjJX0QkBSXFxDM7duzImzVr1t5Tc4qISE16VbcjFK5ptW8REWmS1O0jIpKClPxFRFKQkr+ISApS8hcRSUFK/iIiKUjJX0QkBSXFOP9YNJZF4xtSDHX+CXBeZPMtd7+t4aOsP7XVt9IxbwKvuvsDDR9l/YrhZzwW+GVkczbwQ3dP6vHbMdT5Z8D5QAXwG3eflJBA48DMRgN3uvsJe5SfDtxCkL/+FpkZ+YA0pZZ/dNF44AaCReOBKovGHw18Hfg/M8tOSJT1q6Y69wUuAI4CjgRONbNhCYmy/lRb30ruANo1aFTxVdPPOBe4CzjN3ccAK4B4L0zdEGqqcxuCv+UjgVOBPyYkwjgws+uBR4CcPcozgT8Q1Pd44PJITjsgTSn5V1k0HtjnovHung/sWjQ+2dVU59XAN9y9PLK+QiaQ7Ivm1FRfzOwcgtbgPxs+tLipqc5HEaySd4+ZTQE2uPumhg+x3tVU50JgJdAi8lXR4NHFzzLg2/soH0SwENZX7l4CfAgce6Av1pSSf8IXjU+Aauvs7qXunmdmITO7G5jj7ksSEmX9qba+ZjYEGEfw0bgpqen3ugNwIvBzYCxwrZkNaOD44qGmOkPQsPmMoJvrzw0ZWDy5+0tA6T52xSV/NaXkX6+LxieJmupMZJ3kpyPH/KCBY4uHmup7IdAdeBeYAFxnZt9o2PDioqY6bwZmuPuX7r4d+AAY3tABxkFNdR4LdAX6AAcBZ5nZEQ0cX0OLS/5qSsn/I+CbANUsGn+smeWYWWviuGh8A6u2zmYWAl4F5rn7Fe5enpgQ61W19XX36919dORG2ePA7919ciKCrGc1/V7PAoaYWYdIy3gMQYs42dVU56+AnUBxZO3vrUCbBo+wYS0C+ptZOzPLAo4Dph7oRZvMaB9Sc9H4ausMpBPcHMqOjAgBuNHdD/iXJoFq/BknNrS4qe33+kbgX5FjX3D3ptCoqa3OJwPTzKyCoP/77QTGGjdmNg5o6e4PRer/L4L89Td3X3ug19esniIiKagpdfuIiEiMlPxFRFKQkr+ISApS8hcRSUFK/iIiKagpDfUUqTdmdg8wAugCNAeWEzx9OcXdf5XI2ETqg4Z6itTAzCYAA939hkTHIlKf1PIXiZGZnQBc6e7nmdlS4GOgP8GUEq0JJhB0dx9vZj2BhwhmaCwCLnf31YmJXGRvSv4i+6c38DVgPbAFGA38CFgemXb4buDP7v5PMzsJ+C3BFNsijYKSv8j+2ezuqwDMrNDdP4t8n0/Q2h8K3GRmPyeYoqAkYZGK7ING+4jsn9puli0Gfh6ZaO4K4B9xj0ikDtTyF4mPnwF/jUyr3Qz4cYLjEalCo31ERFKQun1ERFKQkr+ISApS8hcRSUFK/iIiKUjJX0QkBSn5i4ikICV/EZEU9P+8A96nbPcKSQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_profiles()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:27.846908Z",
     "start_time": "2020-07-02T18:08:27.597654Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/imarkelo/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:2: RuntimeWarning: divide by zero encountered in log10\n",
      "  \n",
      "/Users/imarkelo/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:3: RuntimeWarning: divide by zero encountered in log10\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8978a5ed90>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.subplot(111)\n",
    "ax.plot(bl.time, np.log10(bl.SO4['concentration'][0]*bl.Ca['concentration'][0]/bl.constants['Ks_CaSO4']), label='CaSO4', lw=3)\n",
    "ax.plot(bl.time, np.log10(bl.CO3['concentration'][0]*bl.Ca['concentration'][0]/bl.constants['Ks_CaCO3']), label='CaCO3', lw=3)\n",
    "ax.axhline(0, c='k')\n",
    "ax.set_ylabel('Saturation index')\n",
    "ax.set_xlabel('Time')\n",
    "ax.grid(lw=0.2)\n",
    "ax.legend(frameon=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:08:27.849907Z",
     "start_time": "2020-07-02T18:08:27.848305Z"
    }
   },
   "outputs": [],
   "source": [
    "# bl.reconstruct_rates()\n",
    "# bl.plot_rates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernel_info": {
   "name": "python3"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "nteract": {
   "version": "0.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
